Solve the Problem A Determine the Number of Grill a Units and the Gas

question 7

Multiple Choice

Solve the problem.
-A manufacturer produces two models of a gas grill.Grill A requires 0.9 hr for assembly and 0.5 hr for packaging. Grill B requires 1.2 hr for assembly and 0.8 hr for packaging. The production Information and profit for each grill are given in the table. The manufacturer has 1,152 hr of labor Available for assembly and 716 hr of labor available for packaging. $\begin{array} { l | c | c | c } & \text { Assembly } & \text { Packaging } & \text { Profit } \\\hline \text { Grill A } & 0.9 \mathrm { hr } & 0.5 \mathrm { hr } & 80 \\\text { Grill B } & 1.2 \mathrm { hr } & 0.8 \mathrm { hr } & 110\end{array}$
a. Determine the number of grill A units and the number of grill B units that should be produced to Maximize profit assuming that all grills will be sold.
b. What is the maximum profit under these constraints?
c. If the profit on grill A units is 120 and the profit on grill B units is unchanged, how many of each Type of grill unit should the manufacturer produce to maximize profit?

• A) a. \(\mathrm { A } = 0 , \mathrm {~B} = 895\)
• b. Profit \(= 98,450\)
• c. 520 units of \(A\) and 570 units of B
• B) a. \(A = 520 , B = 570\)
• b. Profit = 57,656
• c. 1,280 units of A and 0 units of B
• C) a. \(\mathrm { A } = 520 , \mathrm {~B} = 570\)
• b. Profit \(= 104,300\)
• c. 1,280 units of \(\mathrm { A }\) and 0 units of \(\mathrm { B }\)
• D) \(\mathbf { a } . \mathrm { A } = 1,280 , \mathrm {~B} = 0\)
• b. Profit \(= 102,400\)
• c. 1,280 units of \(\mathrm { A }\) and 0 units of \(\mathrm { B }\)

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Definitions:

Filipinos

Refers to the people originating from or living in the Philippines, a Southeast Asian country.

Indian New Deal

Phrase that refers to the reforms implemented for Native Americans during the New Deal era. John Collier, the commissioner of the Bureau of Indian Affairs (BIA), increased the access Native Americans had to relief programs and employed more Native Americans at the BIA. He worked to pass the Indian Reorganization Act. However, the version of the act passed by Congress was a much diluted version of Collier’s original proposal and did not greatly improve the lives of Native Americans.

Forced Assimilation

The process where individuals or groups are compelled to abandon their own culture, language, or identity to conform to those of a dominating or majority culture.

Dawes Act

Law passed in 1887 meant to encourage adoption of white norms among Indians; broke up tribal holdings into small farms for Indian families, with the remainder sold to white purchasers.